Here
http://superman.nu/tales3/young/
From Superman: Secret Files 03. But this is actually a very specific story and it may not count, because it was written by Waid himself and actually retcons some elements of Birthright (maybe they were trying to reconcile them with Byrne Luthor) while Birthright was still being published.
As far as regular titles are concerned, I may be wrong but Luthor in Smallville was actually never really mentioned until several years after Birthright. Maybe it happened after Johns and Busiek came on board.
Three major continuity changes came from Birthright: young Luthor in Smallville (even if there are some Silver Age elements the general atmosphere was actually more similar to the Smallville TV series), the Kents' appearance (another detail from the TV series) and Krypton's new look. New Kents and Krypton actually appeared in regular stories (I think that the first appearance of new Jor-El and Lara was in Superman/Batman 01 but the new Krypton appeared more often after Superman 200, which led some readers to think that at the end of that anniversary issue Superman had "fallen" into the wrong continuity - yeah, it didn't really make sense). AFAIK Young Luthor actually never appeared between Superman: Godfall (
https://superman.fandom.com/wiki/Superman:_Godfall) and One Year Later, probably because it was very hard to reconcile young Luthor with Byrne continuity whereas new Krypton and Kents were basically just updated looks.
Continuity was actually very loose in those specific years - it was basically a lite version of post-Crisis Superman with some elements of Silver Age or Birthright - but even major stories like Azzarello's For Tomorrow had a very vague position continuity-wise. It didn't help that DC had some of the worst delays of its entire history for a series of reasons - Loeb's Supergirl took almost a year for the first 5 issues as far as I know (to a degree it was understandable - Loeb was experiencing serious problems in his personal life in those days - but editorial was a mess too: when Infinite Crisis was released the final issue wasn't even completely drawn).
I think that young Luthor was mentioned more often after One Year Later, but Birthright had already been discarded as the official origin. What's funny is that in a backup of the 52 series Kurt Busiek actually includes a two-page origin for Luthor which also refers to Smallville, but is very different from Birthright, and was never mentioned again (it was supposed to be used in a Busiek miniseries which never happened). Years later, when the era introduced by Johns and Busiek was about to end, they finally retold Superman's beginnings in Johns' Secret Origins... Just in time for it to be discarded again by the New52.
In Johns' and Frank's origin Luthor is AGAIN in Smallville, but a bit nastier than Birthright Luthor (they reintroduced some Byrne details again, including him killing his own father). Since Secret Origins experienced some major delays as well, I am quite sure that they tampered with that miniseries, too - in an earlier version of the cover there was Bizarro, but he never really appears in the story; and in one issue Luthor cuts himself with some glass irradiated by Kryptonite, which I guess was going to explain his baldness, but it's another detail which they never refer to again. In conclusion, I'd say that if Superman had 4-5 reboots in the latest 20 years, Luthor had actually even more, and most of them were not really necessary IMHO.